Inequality Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you represent a situation where a person must earn at least a certain amount of money?

Back

You can represent this situation with an inequality where the variable (representing hours worked or items sold) is multiplied by the rate of earning and is set to be greater than or equal to the target amount.

Front

If Johnny earns $15 per hour and wants to earn at least $105, what inequality represents this situation?

Back

Front

How do you express a height restriction for children wanting to play on a playground?

Back

You can express this with an inequality that states the height variable must be less than or equal to the maximum height allowed.

Front

If a student must be at least 15 years old to obtain a driver's permit, how is this represented?

Back

Front

What is the inequality for a limo driver who needs to make more than $450 in one day?

Back

Front

What does it mean if an inequality has a 'greater than' symbol (>)?

Back

It means that the value on the left side of the inequality is strictly greater than the value on the right side.

Front

What does it mean if an inequality has a 'less than' symbol (<)?

Back

It means that the value on the left side of the inequality is strictly less than the value on the right side.